In this work, we present MorphingScents, a thin-film, five-layer, flexible, shape-changing odor-emitting mechanism that uses Joule heating to drive both scent release and morphological changes, aiming to provide lightweight, intricate, dynamic, and aesthetic olfactory displays and experiences. Based on the direction of scent release and shape change, we propose two fundamental scent release mechanisms: Inward Gathering Release and Outward Dispersing Release. Combining four deformation mechanisms and three multi-scent release methods, we compiled a shape-changing olfactory interfaces library and further provided a detailed design and fabrication pipeline. We conducted a series of technical tests, including relation to heating and deformation angles and olfactory concentration across different areas, thicknesses, and directions of the odor layer. We demonstrated five applications. We conducted a user-involved workshop to validate MorphingScents's usability and feasibility. Finally, we discuss the potential for expansion, usage precautions, and design iterations of MorphingScents.